%3Cp%3EExists%20a%26nbsp%3Bdifferentiable%26nbsp%3Bfunction%26nbsp%3Bf(x%3B%26nb

Question

%3Cp%3EExists%20a%26nbsp%3Bdifferentiable%26nbsp%3Bfunction%26nbsp%3Bf(x%3B%26nbsp%3By)%26nbsp%3Bsuch%26nbsp%3Bthat%3A%3C%2Fp%3E%3Cp%3E1.%26nbsp%3Bfx%26nbsp%3B%3D%26nbsp%3Bx%5E2%2C%26nbsp%3Bfy%26nbsp%3B%3D%26nbsp%3By%5E3%3B%3C%2Fp%3E%3Cp%3E2.%26nbsp%3Bfx%26nbsp%3B%3D%26nbsp%3Bx%2By-3%2C%26nbsp%3Bfy%26nbsp%3B%3D%26nbsp%3B-y%2Bx%2B2%3B%3C%2Fp%3E%3Cp%3E3.%26nbsp%3Bfx%26nbsp%3B%3D%26nbsp%3B2xy%5E3%26nbsp%3B%2B%26nbsp%3B1%2C%26nbsp%3Bfy%26nbsp%3B%3D%26nbsp%3B3x%5E2y%5E2%26nbsp%3B%2B%26nbsp%3B2%3B%3C%2Fp%3E%3Cp%3E4.%26nbsp%3Bfx%26nbsp%3B%3D%26nbsp%3B4xy%26nbsp%3B-%26nbsp%3By%2C%26nbsp%3Bfy%26nbsp%3B%3D%26nbsp%3B2x%5E2%26nbsp%3B-%26nbsp%3Bx%3B%3C%2Fp%3E

Explanation / Answer

Q1.(x^3/3)+(y^4/4)

Q2.(x^2/2)+x*y-3*x-(y^2/2)+2*y

Q3.x^2*y^3+x+2*y

4.2*x^2*y-x*y

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